Hello from MrBillDoesMath!
Answer: (2x + 1) (x-5)
Discussion:
To factor the polynomial let's find its roots using the quadratic formula:
x = ( -b -+\- sqrt ( b^2 - 4ac)) / 2a which in our case is:
x = ( - (-9) +\- sqrt ( (-9^2 - 4*2*(-5)) ) /(2*2)
x = ( 9 +\- sqrt (81 + 40))/4 =>
x = ( 9 +\- sqrt(121)) / 4 =>
x = ( 9 +\- 11) /4 as sqrt (121) =11
Finally then,
x = ( 9 - 11) /4 = -2/4 = -1/2 and
x = (9 + 11)/4 = 20/4 = 5
So the polynomial factors as follows:
( 2x - (-1) ) ( x - 5) or
(2x + 1) (x-5)
Thank you,
MrB
Answer:
7
Step-by-step explanation:
English:
Which digit should go in the box to
make the next number divisible
between 2, 3 and 9? 8 ,? 48
Let x be the number, then the number will look like this:
8x48
This number is already divisible by 2, because it ends with an even number.
Now we need to check for divsibility by 3.
For this to be divisible by 3, the sum of the digit should be a multiple of 3.

We know if a number is divsible by 9, it is also divsible by 3.
So

The least positive solution is



Therefore 8748 is divsible by 2,3, and 9.
Given:
.
Exponential regression model is

To find:
The exponential regression representing the population of Lazy Town as a function of time in years.
Solution:
Exponential regression model is
...(i)
We have,
.
Substituting
and
in (i), we get.

Therefore, the exponential regression representing the population of Lazy Town as a function of time in years, is
.
2.43
as a mixed number: 2 43/100
as an improper fraction: 243/100
Hope this helps!! :D
<span>a(n) = 0.75*a(n-1)
</span><span>Ans: 400 ; (3/4)400 = 300 ; (3/4)300 = 900/4 ; (3/4)900/4 = 2700/16 = 168.75g's</span>